Consider the system X'(t) = | x(t),t > 0. If the eigenvalues of the coefficient matrix are r= -1 and r=-3, then the general solution of the given system is -3t -3t a) X(t) = c1 + c2 b) X(t) = c1 -t e -3t c) X(t) = c1 G) -t e + C2 et d) X(t) = c1 + C2 3t

Consider the system X'(t) = | x(t),t > 0. If the eigenvalues of the coefficient matrix are r= -1 and r=-3, then the general solution of the given system is -3t -3t a) X(t) = c1 + c2 b) X(t) = c1 -t e -3t c) X(t) = c1 G) -t e + C2 et d) X(t) = c1 + C2 3t

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Consider the system X'(t) = X(t), t > 0. If the eigenvalues of the
coefficient matrix are r= -1 and r= -3, then the general solution of the given
system is
a) X(t) = C1
+ C2
-3t
e
e
b) X(t) = c1 (;) e-t + c2
-3t
e
c) X(t) = c1
(다)
,-t
е
+ C2
e-t
d) X(t) = c1
et
3t
C2

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